Hi!

This problem uses a two equation system(I don't know the proper name).

First, we "turn words into math" as some people call it.

Let x = Type A Coffee

Let y = Type B Coffee

If he made 177 pounds, then the following must be true:

x + y = 177

Also, if Type A Coffee costs $4.30 a pound, and Type B Coffee costs $5.70 a pound, then the following also must be true:

4.30x + 5.70y = 877.30

Now, we make some like terms and combine the equations:

If we multiply the first equation by 4.3:

4.30x + 4.30y = 761.10

And now we subtract the second equation from the first:

4.30x + 4.30y = 761.10

4.30x + 5.70y = 877.30

-1.40y = -116.2

Divide by -1.40:

y = 83.

y equals the number of pounds of type b coffee, so we subtract 83 from 177.

I think you can do the rest yourself. :)

Hope this helps!